I have an 11 o'clock reservation tomorrow — could I change the time?

Literal

Tomorrow [possessive-の] 11-o'clock [at-に] reservation [object-を] have-done-[perfect-state-てある] [but-が], time [object-を] change can?

してあります uses the auxiliary ~てある, which marks the result of an action deliberately performed and still in effect — 'a reservation has been made (and stands).' Different from ~ている: ~てある implies a human agent and a purposeful result. Then 時間を変更できますか asks about the possibility with the potential form of する.